We deal with the dynamics of meromorphic functions from class \(\mathcal {B}\) . This class consists in all meromorphic functions \(f:{\mathbb {C}}\rightarrow \widehat{{\mathbb {C}}} \)  for which the
set \(S(f)\)  of finite asymptotical and critical values is bounded. For entire functions, class \(\mathcal {B}\)  was introduced by Eremenko and Lyubich in [1]}.
